MATHEMATICS COLLEGE

Which of the following is equivalent to 18 minus StartRoot negative 25 EndRoot?

Answers

Answer 1

Answer:

Answer:

18-5i

Step-by-step explanation:

Answer 2

Answer:

Answer: 12-i

12-(√-1)

Step-by-step explanation:

$18-√(-25)$ Original Question

$18-(√(25) * √(-1) )$ Split

$18-5*(√(-1) )$ Solve for square root

$12-√(-1)$ Subtract

You can substitute $√(-1)$ for i

$12-i$ Substitute

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Find the real value of x,y if

(1/(x^2+y^2))+(1/(x+yi))=1

Answers

It sounds like $x,y$ are supposed to be real numbers. If so, then we can do the following.

$\frac1{x^2+y^2}+\frac1{x+yi}=1$

Multiply the second term's numerator and denominator by the conjugate of the denominator:

$\frac1{x^2+y^2}+(x-yi)/((x+yi)(x-yi))=1$

$\frac1{x^2+y^2}+(x-yi)/(x^2+y^2)=1$

$(x+1-yi)/(x^2+y^2)=1$

Since the left hand side is equal to 1, this means it has no imaginary part, so that $y=0$ . Then the real parts of both sides of the equation give us

$(x+1)/(x^2)=1\implies x+1=x^2\implies x^2-x-1=0\implies x=\frac{1\pm\sqrt5}2$

Is the perpendicular bisector of . What is the length of ? A.
4

B.
6

C.
12

D.
7

Answers

Answer:

the answer is C. 12

Step-by-step explanation:

Write an equation for this table use this to help. Y=mx+b
HELP FAST

Answers

Pues no se nada alv perdon

The speed of light is about 1.9 x 10^5 miles per second. It takes about 500 seconds for light to travel from the Sun to Earth.What is the approximate distance between Earth and the Sun?
A 3.8 x 10^2 miles
B 9.5 x 10^6 miles
C 9.5 x 10^7 miles
D 95 x 10^7 miles

Answers

We are 93,000,000 miles away from the sun. The answer should be 9.3 x 10^7.

Nannette has an 8-foot-long board. She needs to cut it into 9 equal length parts. How many feet long should each sectiob of the board be?

Answers

8/9 of a foot long each section or 10 2/3 inches each section

Consider the optimization problem where A m × n , m ≥ n , and b m . a. Show that the objective function for this problem is a quadratic function, and write down the gradient and Hessian of this quadratic.

b. Write down the fixed-step-size gradient algorithm for solving this optimization problem.

c. Suppose that Find the largest range of values for α such that the algorithm in part b converges to the solution of the problem.

Answers

Answer:

Answer for the question :

Consider the optimization problem where A m × n , m ≥ n , and b m .

a. Show that the objective function for this problem is a quadratic function, and write down the gradient and Hessian of this quadratic.

b. Write down the fixed-step-size gradient algorithm for solving this optimization problem.

c. Suppose that Find the largest range of values for α such that the algorithm in part b converges to the solution of the problem.

is explained din the attachment.

Step-by-step explanation:

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